“They are spending time together in L.A. Lindsay is staying at Ben’s new house,” a source tells PEOPLE of the duo, who stepped out together in Los Angeles Thursday night. “They had dinner at Giorgio Baldi last night. They arrived in a limo. They looked happy. They had a quick dinner and then returned to Ben’s house.”

While reps for Affleck haven’t yet commented, sources tell PEOPLE that Affleck and Shookus, 37, have known one another for years and they had dinner in London last week while he was in town for work. E! reports they also stepped out together in London to see the play Ferryman.

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Shookus was also photographed leaving Affleck’s L.A. home on June 8.

Affleck is a five-time Saturday Night Live host, and last hosted the show in May 2013.

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Shookus, who was photographed at Los Angeles International Airport on Friday, got her start in the entertainment business when she was hired as an assistant to a producer on SNL in 2002. After climbing the ranks, the New York-native was eventually promoted to producer and even went on to work on Tina Fey’s 30 Rock.

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She was previously married to fellow SNL colleague Kevin Miller. The two married in 2010 and have one child together.

“It’s more than a summer fling,” an insider told E!. “They are having fun and care for each other.”

RELATED VIDEO: Ben Affleck Is Moving Out! Actor Gets His Own Place in L.A. Amid Divorce from Jennifer Garner

Since their split, both Affleck and Garner, 45, have praised one another for how they work together — with Garner telling Today in August that she and her ex are “great friends.”

“We’re doing our very best and we’re putting our kids first and that’s how we’re focusing on our day to day lives and we don’t know what the future’s going to hold, but each step that we take is one where we prioritize our children and everything else comes second,” Affleck toldCBS This Morning in March 2016 — adding that Garner is “somebody that I admire and respect and remain excellent friends with.”

“They are working hard to continue to build a world that is right for their children,” a source previously told PEOPLE.

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